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Finding the Fourth Proportional to 1,644.80, 2,467.20 and 1,619.20

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Solution

The fourth proportional to 1,644.80, 2,467.20 and 1,619.20 is: 2,428.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.80 : 2,467.20 = 1,619.20 : x
  2. Step 2: Convert to fraction form
    1,644.80/2,467.20 = 1,619.20/x
  3. Step 3: Cross multiply
    1,644.80x = 2,467.20 × 1,619.20
  4. Step 4: Simplify right side
    1,644.80x = 3,994,890.24
  5. Step 5: Solve for x
    x = 3,994,890.24/1,644.80
  6. Step 6: Final answer
    x = 2,428.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.